MATHEMATICS HIGH SCHOOL

GEOMETRY. PLEASE, I NEED HELP NOW!The lateral area of a cone is 736 pi cm^2 . The radius is 46 cm. Find the slant height to the nearest tenth.
A. 16 cm
B. 21.1 cm
C. 13.4 cm
D. 21.6 cm

Answers

Answer 1
Answer: (1/2)pidh=lateral area
h=slant height
so
736pi=1/2pidh
divid eobth sides by pi
736=1/2dh
multiply both sides by 2
1472=dh

2r=d
2(46)=d=92

1472=92h
divide both sides by 92
16 exatly

slant height=16cm

answer is A

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Which inequality best represents the situation in which you must be at least 42 inches tall to ride the roller coaster

Answers

42 \leq x

after 3/4 of a minute a sloth has moved just 3/8 of a foot. what is the sloths speed on feet per minute.

Answers

V=(s)/(t),where\ V-speed,\ s-distance\ ,t-time\n\nv=((3)/(8))/((3)/(4))=(3)/(8)*(4)/(3)=(4)/(8)=\n\n0,5(feet)/(minute)\n\nSpeed\ is\ equal\ to\ 0,5(feet)/(minute).

Answer:

V=\frac{s}{t},where\ 
V-speed,\ s-distance\ ,t-time\\\\
v=\frac{\frac{3}{8}}{\frac{3}{4}}=\frac{3}{8}*\frac{4}{3}=\frac{4}{8}=\\\\0,5\frac{feet}{minute}\\\\
Speed\ is\ equal\ to\ 0,5\frac{feet}{minute}.

Step-by-step explanation:

A radio commercial for a loan company states: “You only pay $0.29 a day for. each $500 borrowed.” If you borrow $1,500 for 120 days, what amount will you. repay, and what annual interest rate is the company actually charging?

Answers

Total Interest will be = .29*1500*12 / 500 = 104.4
so total amount to be repay = 1500+104.4=1604.4
and annual interest rate = 104.4*100*360/1500*120=20.88%
hope it helps

Answer:

Total amount to be repay is $ 1604.4

The annual  interest rate  the company actually charging is 25.40%

Step-by-step explanation:

Given:  A radio commercial for a loan company states: “You only pay $0.29 a day for each $500 borrowed.” We have borrowed $1,500 for 120 days.

We have to determine the amount to be repay and the annual interest rate  the company actually charging.

UNITARY method is a method in which we first find the value of a single unit and then find the desired value by multiply it with unit value.

Since, we have to pay $0.29 a day for each $500 borrowed.

Thus, when we borrow $1 , we pay (0.29)/(500)

So, when $1500  is borrowed , we pay  (0.29)/(500)* 1500=0.87

Thus, for 120 days we pay 0.87 × 120 = $104.4

Thus, total amount to be repay = 1500 + 104.4 = $ 1604.4

and annual interest rate is given by,

SI ={P* r* t}

We have to find rate

Simple interest = $ 104.4

Principal = $1500

time = 120 days

In year time is (120)/(365)

Substitute, we have,

104.4=(1500* r* 120)/(365)

Simplify, we have,

r = 25.40%

Thus, the annual  interest rate  the company actually charging is 25.40%

Help meeee please in quadratic equation

Answers

What part are you wanting to know about? The written of number 9? 
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x = -b ± √(b² - 4ac)
               2a
x = -(31) ± √((31)² - 4(7)(12))
                      2(7)
x = -31 ± √(961 - 4(84))
                   14
x = -31 ± √(961 - 336)
                  14
x = -31 ± √(625)
              14
x = -31 ± 25
           14
x = -31 + 25    or    x = -31 - 25
           14                          14
x = -6    or    x = -56
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(3x + 5)(x + 1)

(3x − 5)(x + 1)

Prime

Answers

Answer:

(D)

Step-by-step explanation:

The quadratic equation is in the form :

(x+p)(x+q)

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x^2+(p+q)x+pq

and In the above, (p + q) = b and pq = c.

To factor a quadratic, we'll need to start by finding the two numbers (being the p and the q above) that add up to equal b, where those numbers also multiply to equal c.

Since, both 3 and 5 in the given equation 3x^2+5x+1 are prime numbers, thus the given equation cannot be factorised because of the prime nature.

Hence, option D is correct.
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A gear in a machine turns 2 1/2 times every hour. How many turns does the gear make in 2 1/4 hours?
Express your answer in simplest terms.

A. 4 1/4


B. 4 1/8


C. 5 5/8


D. 6 1/4

Answers

we can solve this by multiplying those two numbers but we place them in improper fraction.

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for fraction multiplication, just multiply numerator by numerator and denominator by denominator

5/2 x 9/4 = 45/8

we can simplify this into mixed fraction while numbers in whole numbers and remainder in numerator

5 5/8 is the answer
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